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Finding the Fourth Proportional to 6,840.63, 9,440.08 and 3,696.81

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Solution

The fourth proportional to 6,840.63, 9,440.08 and 3,696.81 is: 5,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.63 : 9,440.08 = 3,696.81 : x
  2. Step 2: Convert to fraction form
    6,840.63/9,440.08 = 3,696.81/x
  3. Step 3: Cross multiply
    6,840.63x = 9,440.08 × 3,696.81
  4. Step 4: Simplify right side
    6,840.63x = 34,898,232.75
  5. Step 5: Solve for x
    x = 34,898,232.75/6,840.63
  6. Step 6: Final answer
    x = 5,101.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.